If (1-x^(3))^(n)=underset(r=0)overset(n)...

If `(1-x^(3))^(n)=underset(r=0)overset(n)(sum)a_(r)x^(r)(1-x)^(3n-2r)`, then the value of `a_(r)`, where `n in N` is

`.^(n)C_(r)*3^(r)`

`.^(n)C_(3r)`

`.^(n)C_(r-1)2^(r-1)`

`.^(n)C_(r)2^(r)`

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let underset(r=0)overset(2010)(sum)a_(r)x^(r)=(1+x+x^(2)+x^(3)+x^(4)+x^(5))^(402) and underset(r=0)overset(2010)(sum)a_(r)=a, then the value of ((underset(r=0)overset(2010)(sum)r.a_(r))/(underset(r=0)overset(2010)(sum)a_(r))) is equal to____.

If (1-x^(2))^(n)=sum_(r=0)^(n)a_(r)x^(r)(1-x)^(2n-r), then a_(r) is equal to ^(n)C_(r) b.^(n)C_(r)3^(r) c.^(2n)C_(r) d.^(n)C_(r)2^(r)

Statement-1: If underset(r=1)overset(n)(sum)r^(3)((.^(n)C_(r))/(.^(n)C_(r-1)))^(2)=196 , then the sum of the coeficients of powerr of xin the expansion of the polynomial (x-3x^(2)+x^(3))^(n) is -1. Statement-2: (.^(n)C_(r))/(.^(n)C_(r-1))=(n-r+1)/(r) AA n in N and r in W .

AAKASH INSTITUTE-BINOMIAL THEOREM-Assignment (section-B)

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the value of x , for which the 6th term in the expansions of[2^log2sqr...
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If (1-x^(3))^(n)=underset(r=0)overset(n)(sum)a(r)x^(r)(1-x)^(3n-2r), t...
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underset(r=0)overset(n)(sum)(-1)^(r).^(n)C(r)[(1)/(2^(r))+(3^(r))/(2^(...
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2C0+2^2/2 C1+2^3/3 C2+.............+2^11/11 C10 =?
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